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Finding the Fourth Proportional to 52.33, 72.15 and 37.75

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Solution

The fourth proportional to 52.33, 72.15 and 37.75 is: 52.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.33 : 72.15 = 37.75 : x
  2. Step 2: Convert to fraction form
    52.33/72.15 = 37.75/x
  3. Step 3: Cross multiply
    52.33x = 72.15 × 37.75
  4. Step 4: Simplify right side
    52.33x = 2,723.66
  5. Step 5: Solve for x
    x = 2,723.66/52.33
  6. Step 6: Final answer
    x = 52.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.